Quantitative Aptitude PYQ — Page 244
24,303 questions across SSC exams.
SSC CGL • 2025
A water tank is shaped like a composite prism: the bottom part is a triangular prism with base area 60 cm² and height 1.2 m, while the top part is a rectangular prism with base 40 cm × 30 cm and height 0.8 m. What is the total volume of the tank in liters?…
SSC Selection Post • 2022
When a positive integer n is divided by 9, the remainder is 4. What is the remainder when (3n² + 2n² + 5n) is divided by 9?
SSC Selection Post • 2022
A thief was spotted by a policeman at a distance of 1200 m and he started chasing him. The thief ran 6.4 km in 52 minutes and the policeman also ran the same distance in 40 minutes. Find the distance the thief had run before he was caught.
SSC CHSL • 2023
A, B and C started a business by investing ₹9,000, ₹18,000 and ₹21,000, respectively. If B's share in the profit earned by them is ₹759, then the total profit earned by them together is:
SSC GD • 2023
The average of 9 numbers is 15. If the average of the first five numbers is 13 and the average of the last five numbers is 17, then what is the fifth number?
SSC GD • 2025
Ashish has ₹1218 with him. He divided it amongst his sons Arun and Mahesh and asked them to invest it at 10% rate of interest compounded annually. It was seen that Arun and Mahesh got same amount after 11 and 12 years respectively. How much (in ₹) did Ashish…
SSC CGL • 2024
The percentage of hours spent at school in a day is _.
SSC CGL • 2020
In a wallet, there are notes of the denominations Rs.10 and Rs.50. The total number of notes is 12. The number of Rs.10 and Rs.50 notes are in the ratio of 1 : 2. Total money in the wallet is:
SSC CHSL • 2019
if a²+ b²= 135 and ab = 7, (a > 0, b > 0) then the value of (a³– b³) ?
SSC CHSL • 2025
A and B together can do a piece of work in 20 days. They worked for 8 days, and C completed the remaining in 4 days. How long will C alone take to do the whole work?
SSC CHSL • 2025
Find the area of a trapezium whose parallel sides are 8.4 cm and 10.8 cm respectively, and the distance between the parallel sides is 7.5 cm.
SSC GD • 2023
Sumati traveled from point A to point B at 475 m/min. The moment that Sumati reached point B, Rachna set off from point B, at a speed 1.6 times the speed at which Sumati traveled and reached point C. If the total distance covered from A to C via B was 45.6…
SSC CHSL • 2021
PA and PB are tangents drawn to a circle with centre O from an external point P. If A and B are points on the circle and ∠OBA = 42ᵒ, then ∠APB is:
SSC Selection Post • 2022
What is the difference between the compound interest on a sum of Rs.10,000 at 12% p.a. for 11 over 4 years when the interest is compounded annually and when the interest is compounded 5 - monthly? (nearest to a Rs)
SSC GD • 2025
Find the value of [(36 ÷ 9 ) × { 56/8 + 14/1 × ( 6 - 5 ) }]
SSC GD • 2026
What is the fourth proportion of 12, 4 and 18?
SSC CGL • 2025
What is the slope of the line passing through points (2, 3) and (4, 7)?
SSC GD • 2023
Due to illness the weight of a person has reduced from 80 kg to 64 kg in a month. The percent decrease in the weight of the person is:
SSC CHSL • 2023
If cotθ = 9/17 , find the value of cosec²θ.
SSC GD • 2023
In a school, there are 200 students. If the ratio of the number of boys and the number of girls is 9 : 1, then find the mean proportion between the number of boys and that of girls in the school.
SSC GD • 2023
The selling price of an article is (4/3) times of its cost price . The gain percentage is:
SSC GD • 2023
Find the HCF of 2800 and 756.
SSC CGL • 2024
AB is a chord of length 32 cm of a circle of radius 20 cm, the tangents at A and B intersect at a point T. Find length TA (rounded off to two digits after decimal).
SSC CHSL • 2024
Rahul spends 70% of his income. His income increased by 15% and his expenditure increased by 7.5%. What is the percentage increase in his savings?
SSC CGL • 2025
A solid hemisphere of radius 10 cm is melted into two cones of equal height. If each cone's redius is 5 cm, what is the height of each cone?
SSC MTS • 2019
The data below shows the number of batsmen having different batting averages. [Table] What is the mean batting average per batsman?
SSC CGL • 2023
The maximum value of (sin¹² θ + cos²⁰ θ ) for all the real values of θ is:
SSC GD • 2025
The LCM of 2³ × 9² × 13, 2² × 13² × 19 and 9³ × 13² × 19² is :
SSC GD • 2025
The price (per litre) of petrol increases by 85%. By what percent should its consumption be reduced such that the expenditure on it increases by 11% only?
SSC GD • 2025
Find the value of [ ( 23 × 5 )× \ 6 ÷ 6 × ( ( 18-14 ))/4 \]
SSC CHSL • 2025
The sum of three numbers is 132. If the ratio of the first to the second is 2:5 and the ratio of the second to the third is 5:4, then the first number is:
SSC GD • 2023
A silver shop owner claims that he is selling silver at ₹65/g when the cost is Rs. 70/g, but he is giving 900 mg instead of 1 g. The percentage of profit or loss of the shop owner (correct to 2 decimal places) is:
SSC GD • 2021
If (a + b) : (b + c) : (c + a) = 8 : 7 : 5 and a + b + c = 60, then the ratio of a : b : c is:
SSC GD • 2024
Cost price of an article is Rs. 440. If the profit percentage is 18 percent, then what is the profit?
SSC GD • 2023
A man sold two chairs for Rs.475 each, gaining 25% on one and losing 20% on the other. Had he sold the two chairs for Rs.575 each, what would have been his gain/loss percentage (rounded off to the nearest integer)?
SSC CHSL • 2025
A sum of Rs. 6500 earns Rs. 1602.00 as simple interest in 4 years. Find the approximate rate of interest.
SSC GD • 2023
Ravi and Sumant can complete a piece of work in 40 and 50 days, respectively. If they work at it on alternate days starting with Ravi on the first day, in how many days will the work get over?
SSC Selection Post • 2022
The average weight of 10 students is 42 kg. If 3 students of average weight of 43 kg are added and two other students of average weight of 48 kg are also added, then find the average weight of all the students.
SSC CHSL • 2022
If 1 + x² + x⁴ = 585 and 1 - x + x² = 65, then find the value of 1 + x + x².
SSC CGL • 2025
A class of 60 students has an average score of 75. If 5 new students are added and the class average increases by 1, what is the average score of the 5 new students?
SSC CGL • 2019
In ∆ABC, AM is perpendicular to BC and AN is the bisector of ∠A. What is the measure of ∠MAN, if ∠B = 55ᵒ and ∠C = 35ᵒ?
SSC CHSL • 2023
In what time will ₹3,20,000 amount to ₹4,05,000 if compounded at 12.5% per annum?
SSC Selection Post • 2022
A train takes 1 hour 20 minutes to travel between two stations P and Q. If it travels at 2over7 of its usual speed, how long will it take to travel between P and Q?
SSC CGL • 2023
Ram can copy 60 pages in 15 hours. If Ram and Riya together can copy 180 pages in 30 hours, then in how many hours can Riya copy 20 pages?
SSC CGL • 2021
A borrowed a sum of Rs.160000 from B at 10% per annum simple interest. At the same time, he lent the same sum to C at the same rate on compound interest, compounded semi-annually for 2 years. Find the amount (in Rs) earned by A in the whole transaction.
SSC CGL • 2023
Which of the following numbers will completely divide 4¹² + 4¹³+ 4¹⁴ + 4¹⁵?
SSC CGL • 2025
Convert 3 radians to degrees.
SSC CHSL • 2023
1/2 of a certain sum is lent at a 20% rate of interest. 2/5 of the remaining sum is lent at a 25% rate of interest. The remaining sum is lent at a 10% rate of interest. If the simple interest received on the total sum for 2 years is Rs. 360, then what is the…
SSC CHSL • 2023
∆ ABC is an equilateral triangle. The side BC is produced to point D. If A joines D and BC = CD, then the degree measure of angle CAD is equal to:
SSC CHSL • 2020
In how many years will the simple interest on a sum of money be equal to the principal at rate of [Image] p.a?